IIT JEE MCQ Quiz Hub

IIT JEE Motion In Two And Three Dimensions part1

Choose a topic to test your knowledge and improve your IIT JEE skills

1. A ball thrown by one player reaches the other in 2 s. The maximum height attained by the ball above the point of projection will be about:




2. Two projectiles are fired at different angles with the same magnitude of velocity such that they have the same range. At what angles they might have been projected?




3. Which of the following is the essential characteristic of a projectile?




4. A projectile is thrown with velocity v making an angle q with the horizontal. It just crosses the tops of two poleseach of height h after 1 second and 3 second respectively h is




5. Which of the following is not a projectile?




6. wo bullets are fired horizontally with different velocities from the same height. Which will reach the ground first?




7. A ball is thrown at an angle ? with the horizontal. Its horizontal range is equal to its maximum height. This is possible when tan ? = ?




8. A body is projected with velocity u at projection angle ? has horizontal displacement R. For the same velocity and projection angle its range on the moon?s surface will be:




9. An object is dropped through the window of a fast running train. Then:




10. An aeroplane flying horizontally with speed 90 km/h releases a bomb at a height of 78.4 m from the ground when will the bomb strike the ground?




11. For a given velocity of projection from a point on the inclined plane the maximum range down the place is three times the maximum range up the incline. Then the angle of inclination of the incline is:




12. A stone is projected upwards and it returns to ground on a parabolic path Which of the following remains constant?




13. 3.Which of the following does not affect the maximum height attained by the projectile?




14. A projectile is thrown with velocity v making an angle q with the horizontal. It just crosses the tops of two poleseach of height h after 1 second and 3 second respectively maximum height attained by the projectile is




15. A piece of marble is projected from earths surface with velocity of 50 m/s. 2 s later it just clears a wall 5 m high. What is the angle of projection?




16. In the above problem the height of the point of impact from the horizontal plane passing through the point of projection is:




17. A bullet fired from gun at sea level rises to a maximum height 10m When fired at a ship 40 m away the muzzle velocity should be:




18. Which of the following is the largest when the height attained by the projectile is the greatest?




19. A bullet is fired horizontally with a velocity of 200 m/s If acceleration due to gravity is 10 m/second square in first second it will fall through a height of:




20. A passenger traveling in a train moving with constant velocity drops a stone from the window. To the passenger the path of projectile will appear to be:




21. In case of a projectile what is the angle between the instantaneous velocity and acceleration at the highest point?




22. A particle is projected with a velocity of 30 m/s at an angle of 30 degree to an inclined plane of inclination 30 degree to the horizontal. The particle hits the inclined plane at an angle of 30 degree. The time of impact is:




23. A heavy and a lighter body are dropped from the top of a tower Which will reach the ground first?




24. An aeroplane is flying horizontally with velocity 150 m/s at a height 100 m from the ground. How long must the distance from the plane to target be if a bomb is released from the plane to hit the target?




25. A gun is aimed at a horizontal target. It takes 1/2 s for the bullet to reach the target. The bullet hits the target x metre below the aim. Then x is equal to:




26. A stone is projected with a velocity of 10 m/s at an angle of 30degree with the horizontal. It will hit the ground after time:




27. The benches of a gallery in a cricket stadium are 1 m high and 1 m wide A batsman strikes the ball at a level 1 m about the ground and hits a ball The ball starts at 35 m/s at an angle of 53 degree with the horizontal The benches are perpendicular to the plane of motion and the first bench is 110 m from the batsman On which bench will the ball hit?




28. If air resistance is ignored then the horizontal motion of the oblique projectile takes place at




29. A projectile is thrown into space so as to have maximum possible range of 400 m. Taking the point of projection as the origin the co-ordinance of the point where the velocity of the projectile is minimum is:




30. A projectile is projected with kinetic energy of 800 J. If it has the maximum possible horizontal range then its kinetic energy at the highest point will be




31. A man can thrown a stone 100 m away The maximum height to which he can throw vertically is




32. If a number of particles are projected from the same point in the same plane so as to describe equal parabolas then the vertices of their path lie on a:




33. If the height attained by a projectile is the greatest then which of the following is the maximum ?




34. At the top of the trajectory of a projectile the directions of its velocity and acceleration are:




35. A particle is projected from horizontal making an angle 60 degree with initial velocity 40 m/s The time taken by the particle to make angle 45 degree from horizontal is:




36. 1.If the air resistance causes a vertical retardation of 10% of value of acceleration due to gravity then the time of flight of an oblique projectile will be decreased by nearly




37. The greatest height to which a man can throw a ball is h. What is the greatest distance to which he can throw the ball ?




38. For the same horizontal range in how many projections can an object be projected?




39. A projectile of mass 2 kg has velocities 3 m/s and 4 m/s at two points during its flight in the uniform gravitational field of the earth If these two velocities are perpendicular to each other then the minimum kinetic energy of the particle during its flight is:




40. An oblique projectile has the smallest speed on its trajectory when




41. If the velocity of projection of a projectile is trebled then its maximum range will be




42. Two stones are thrown up simultaneously from the edge of a cliff with initial speeds v and 2v. The relative position of the second stone with respect to first varies with time till both the stones strike the ground as:




43. If air resistance and air buoyancy are to be ignored then which of the following factors determines the time of flight of the projectile ?




44. A hunter takes an aim at a monkey sitting on a tree and fires a bullet. Just when the bullet leaves the barrel of the gun it so happens that the monkey begins to fall freely. The bullet will




45. With what minimum speed must a particle be projected from origin so that it is able to pass through a given point (30m 40m)?




46. A ball of mass M is thrown vertically upwards Another ball of mass 2M is thrown at an angle ? to vertical Both of them stay in air for the same period of time the heights attained by the two are in the ratio:




47. If retardation produced by air resistance to the projectile is one-tenth of acceleration due to gravity the time to return from the maximum height:




48. When the range of a projectile on an inclined plane is maximum then:




49. In the case of an oblique projectile the velocity is perpendicular to acceleration




50. The range of projectile projected at an angle 15 degree is 10v3 m If it is fired with the same speed at angle of 30 degree its range will be:




51. A number of particles are projected from a given point with same velocity in different directions in the same vertical plane. At any instant they will lie on:




52. A ball is projected upwards Its acceleration at the highest point is




53. A heavy stone is thrown from a cliff of height h in a given direction. The speed with which it hits the ground (air resistance may be neglected):




54. In projectile motion the modulus of rate of change of speed: